Sekiguchi Yoshiyuki

セキグチヨシユキ | Sekiguchi Yoshiyuki

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www2.kaiyodai.ac.jp/~yoshi-s

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (6)： Optimization Theory , Applied Algebraic Geometry , 変分解析 , 関数解析 , Variational analysis , Functional analysis

Research theme for competitive and other funds (6)：

2024 - 2028 Optimization algorithms and convex algebraic geometry
2019 - 2023 A study of manifolds of optimization problems via convex algebraic geometry
2015 - 2019 凸代数幾何と最適化理論
2010 - 2013 産業数学への応用を通した変分解析の再構築
2007 - 2009 Developments of inverse function theorems by variational analysis and applications to optimization problems

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Papers (20)：

Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki. Analytic formulas for alternating projection sequences for the positive semidefinite cone and an application to convergence analysis. Journal of Mathematical Analysis and Applications. 2025
Hiroyuki Ochiai, Yoshiyuki Sekiguchi, Hayato Waki. Exact convergence rates of alternating projections for nontransversal intersections. Japan Journal of Industrial and Applied Mathematics. 2024
Yoshiyuki Sekiguchi, Hayato Waki. Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems. Journal of Optimization Theory and Applications. 2021. 188. 1. 52-72
Yoshiyuki Sekiguchi, Hayato Waki. Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems. Journal of Optimization Theory and Applications. 2021. 188. 52-72
Yoshiyuki Sekiguchi. Homogenized KKT Systems and Strict Feasibility of Semidefinite Programs. Proceedings of Nonlinear Analysis and Convex Analysis. 2021. 229-232

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MISC (8)：

落合啓之, 関口良行, 脇隼人. 交互射影法の厳密収束レート. 最適化:モデリングとアルゴリズム. 2024. 35
関口良行. 交互射影法とイデアル論. 第34回RAMP数理最適化シンポジウム論文集(日本 OR 学会). 2022. 29-40
Optimization Theory and Real Algebraic Geometry. 2015. 108. 3. 505-519
関口良行. 無限次元変分解析の理論とオンラインアルゴリズムにおける応用例. 第22回RAMP数理最適化シンポジウム論文集(日本 OR 学会). 2010. 125-135
Sekiguchi Yoshiyuki. Metric regularity and nonsmooth constraint systems (Decision Theory and Optimization Algorithms). RIMS Kokyuroku. 2005. 1409. 50-58

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Books (1)：

はじめての最適化
近代科学社 2014

Lectures and oral presentations (21)：

非退化スペクトル多面体とイデアル
(最適化,計算機科学,代数幾何 2024)
半正定値錐に対する交互射影法の明示公式
(記号計算の高速化と産業課題解決への応用 2023)
Explicit formulas for alternating projections
(10th International Congress on Industrial and Applied Mathematics 2023)
Exact Convergence Rates of Alternating Projections for the Cone of Positive Semidefinite Matrices,
(SIAM Conference on Applied Algebraic Geometry 2023 2023)
Exact convergence rates for alternating projections
(Optimization: Modeling and Algorithms 2023 2023)

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Education (3)：

- 2007 Tokyo Institute of Technology
- 2003 Tokyo Institute of Technology
- 2000 Tokyo Institute of Technology School of Science Dept. of Information Science

Professional career (3)：

Doctor of Science (Tokyo Institute of Technology)
Master of Science (Tokyo Institute of Technology)
Bachelor of Science (Tokyo Institute of Technology)

Work history (6)：

2024/04 - 現在 Tokyo University of Marine Science and Technology Graduate School of Marine Science and Technology Professor
2012/04 - 2024/03 Tokyo University of Marine Science and Technology Faculty of Marine Technology Associate Professor
2016/04 - 2017/03 University of Konstanz Department of Mathematics and Statistics Guest Professor
2008/04 - 2011/03 Tokyo University of Marine Science and Technology Faculty of Marine Technology Assistant Professor
Kwansei Gakuin University School of Science and Technology, Department of Informatics

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Association Membership(s) (5)：

Mathematical Programming Society , 日本数学会 , Mathematical Programming Society , Mathematical Society of Japan , Society of Industrial and Applied Mathematics

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